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Categorical Variables: Associated vs Independent

Last updated almost 5 years ago

8 questions

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Question 1

1.

The segmented bar graph below displays the distribution of pet ownership among homeowners and renters.

Is pet ownership associated with housing arrangement?

No, because the distribution of pet ownership differs among homeowners and renters, renters are more likely to have no pets.

Yes, because the distribution of pet ownership differs among homeowners and renters, homeowners are more likely to have a dog than renters.

No, because the distribution of pet ownership is about the same among homeowners and renters.

Question 2

2.

The data in the graph displays the season preference of people in relation to age.
Which statement best summarizes the data?

Season preference and age group appear to be associated because the percentage of people who prefer winter and fall are different for the two age groups.

Season preference and age group appear to be independent because the percentage of people who prefer winter is similar for the two age groups.

Season preference and age group appear to be associated because the percentage of people who prefer winter and fall are similar for the two age groups.

Question 3

3.

The graphs displays the movie preference of people by gender.
Which statement best summarizes the information displayed in the double bar chart?

Movie A is the most preferred movie among those surveyed.

The number of males outnumbers the number of females for each movie choice.

Movie preference is indepenent of gender for all five movies, the preferences by gender are the same for each movie.

Question 4

4.

The graph displays the vacation preferences of people in relation to their states of residency.
Which type of favorite vacation had approximately the same proportion in each of the four states?
Spell it out as typed above.

Question 5

5.

The graph displays the vacation preferences of people in relation to their states of residency.
Which state has the smallest proportion of residents who prefer nature vacations?
Use the abbreviation

Question 6

6.

The graph displays the vacation preferences of people in relation to their states of residency.
Are favorite vacation and state of residency associated or independent?

Associated because the proportions of vacation preferences are similar between all four states.

Question 7

7.

Question 8

8.

Is there a relationship between gender and relative finger length? A random sample of 452 US High School students was selected. The two-way taable shows the gender of each student and which finger was longer on their left hand (index finger or ring finger).

1. Use the show your work secction, select the line tool and use 'scribble' to circle the conditional distribution of finger length for females.
2. Now in a different color, circle the conditional distribution of gender for the ring finger.
You should have drawn two circles.
I will grade your work :)

Yes, because the distribution of pet ownership is about the same among homeowners and renters.

Season preference and age group appear to be independent because the percentage of people who prefer winter is different for the two age groups.

Movie preference appears to be associated to gender, females are more likely to prefer moveis B and C than males.

Associated because the proportions of vacation preferences are different between all four states.

Independent because the proportions of vacation preferences are different between all four states.

Independent because the proportions of vacation preferences are similar between all four states.

The graph displays the vacation preferences of people in relation to their states of residency.
Comparing the side by side segmented bar charts, what can be said about the association between favorite type of vacation and state of residency?
Choose ALL that apply :)

California residents are more likely to prefer a big city vacation.

Out of the four States, Florida and California residents are least likely to prefer a vacation at the beach.

 Out of all the states, Ohio residents are the most likely to prefer a vacation at the beach.

Florida residents are the most likely to prefer a nature vacation

Ohio residents are least likely to prefer a big city or nature vacation.

Kansas residents are the most likely to prefer a vacation at the beach.